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Finding the Fourth Proportional to 223.98, 335.64 and 155.58

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Solution

The fourth proportional to 223.98, 335.64 and 155.58 is: 233.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.98 : 335.64 = 155.58 : x
  2. Step 2: Convert to fraction form
    223.98/335.64 = 155.58/x
  3. Step 3: Cross multiply
    223.98x = 335.64 × 155.58
  4. Step 4: Simplify right side
    223.98x = 52,218.87
  5. Step 5: Solve for x
    x = 52,218.87/223.98
  6. Step 6: Final answer
    x = 233.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.